Is the probability of a bowler rolling a strike higher after he has thrown four consecutive strikes? Researchers investigated the phenomenon of a "hot hand" in bowling. Frame-by-frame results were collected on 43 professional bowlers. For each bowler, the researchers calculated the proportion of strikes rolled after bowling four consecutive strikes and the proportion after bowling four consecutive nonstrikes. The data on 4 of the 43 bowlers are shown in the accompanying table. Complete parts a and b. Click the icon to view the data table. Click the icon to view a table of critical values for the Wilcoxon signed rank test. a. Do the data on the sample of four bowlers provide support for the "hot hand" theory in bowling? Explain. (Let the differences be After Four Strikes - After Four Nonstrikes.) Set up the null and alternative hypotheses. Ho: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is H₂: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is Find the test statistic for this test. Select the correct choice below and fill in the answer box within your choice. A. T= OB. T₂ = OC. T_= Data Table Bowler 1 2 3 4 Proportion of Strikes After Four Strikes After Four Nonstrikes 0.632 0.684 0.610 0.683 Print Done identical to shifted to the right of 0.421 0.400 0.529 0.426 Critical values for the Wilcoxon paired difference signed rank test One-Tailed a.05 a 025 a = .01 a= .005 a = .05 α = .025 a.01 a-005 a.05 a-025 a.01 a = .005 a.05 a025 a= .01 a-005 Critical Values of To in the Wilcoxon Paired Difference Signed Rank Test n = 6 n = 7 R = 8 n = 5 1 Two-Tailed a.10 a.05 a.02 a = .01 a.10 a.05 a.02 a.01 a.10 a.05 a.02 a.01 the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. a.10 a.05 a.02 a.01 n = 11 14 11 7 5 n = 17 41 35 28 23 R = 23 83 73 62 55 2 1 n = 12 17 14 10 7 n = 18 47 40 33 28 n = 24 92 81 69 61 4 2 0 # = 13 21 17 13 10 # = 19 54 46 38 32 # = 25 101 90 77 68 6 4 2 0 n = 14 26 21 16 13 n = 20 60 52 43 37 n = 26 110 98 85 76 n = 9 8 6 3 2 n = 15 30 25 20 16 n = 21 68 59 49 43 n = 27 120 107 93 84 n = 10 11 8 5 -***** ***=78980 D

Is the probability of a bowler rolling a strike higher after he has thrown four consecutive strikes? Researchers investigated the phenomenon of a "hot hand" in bowling. Frame-by-frame results were collected on 43 professional bowlers. For each bowler, the researchers calculated the proportion of strikes rolled after bowling four consecutive strikes and the proportion after bowling four consecutive nonstrikes. The data on 4 of the 43 bowlers are shown in the accompanying table. Complete parts a and b. Click the icon to view the data table. Click the icon to view a table of critical values for the Wilcoxon signed rank test. a. Do the data on the sample of four bowlers provide support for the "hot hand" theory in bowling? Explain. (Let the differences be After Four Strikes - After Four Nonstrikes.) Set up the null and alternative hypotheses. Ho: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is H₂: The distribution of the proportion of strikes rolled after bowling four consecutive strikes is Find the test statistic for this test. Select the correct choice below and fill in the answer box within your choice. A. T= OB. T₂ = OC. T_= Data Table Bowler 1 2 3 4 Proportion of Strikes After Four Strikes After Four Nonstrikes 0.632 0.684 0.610 0.683 Print Done identical to shifted to the right of 0.421 0.400 0.529 0.426 Critical values for the Wilcoxon paired difference signed rank test One-Tailed a.05 a 025 a = .01 a= .005 a = .05 α = .025 a.01 a-005 a.05 a-025 a.01 a = .005 a.05 a025 a= .01 a-005 Critical Values of To in the Wilcoxon Paired Difference Signed Rank Test n = 6 n = 7 R = 8 n = 5 1 Two-Tailed a.10 a.05 a.02 a = .01 a.10 a.05 a.02 a.01 a.10 a.05 a.02 a.01 the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. the distribution of the proportion of strikes rolled after bowling four consecutive nonstrikes. a.10 a.05 a.02 a.01 n = 11 14 11 7 5 n = 17 41 35 28 23 R = 23 83 73 62 55 2 1 n = 12 17 14 10 7 n = 18 47 40 33 28 n = 24 92 81 69 61 4 2 0 # = 13 21 17 13 10 # = 19 54 46 38 32 # = 25 101 90 77 68 6 4 2 0 n = 14 26 21 16 13 n = 20 60 52 43 37 n = 26 110 98 85 76 n = 9 8 6 3 2 n = 15 30 25 20 16 n = 21 68 59 49 43 n = 27 120 107 93 84 n = 10 11 8 5 -*** *=78980 D

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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